Heisenberg frustrated magnets: a nonperturbative approach

M. Tissier (1) , B. Delamotte (1) , D. Mouhanna (1)

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Frustrated magnets are a notorious example where the usual perturbative methods are in conflict. Using a nonperturbative Wilson-like approach, we get a coherent picture of the physics of Heisenberg frustrated magnets everywhere between $d=2$ and $d=4$. We recover all known perturbative results in a single framework and find the transition to be weakly first order in $d=3$. We compute effective exponents in good agreement with numerical and experimental data.

Domaines: Mécanique statistique [cond-mat.stat-mech]; Physique des Hautes Energies - Théorie [hep-th]

M. Tissier, B. Delamotte, D. Mouhanna. Heisenberg frustrated magnets: a nonperturbative approach. Physical Review Letters, 2000, 84, pp.5208-5211. ⟨hal-00022943⟩